Answer:
Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:
P = m*v
where m is mass, and v is velocity.
First, let's calculate Pi, the initial momentum.
Pi = Pi₁ + Pi₂
Where the subscripts 1 and 2 refer to each puck:
Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)
Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)
Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)
Now, after the collision we have that:
The first puck comes to rest, then:
Pf₁ = 0.17kg*0m/s = 0 (kg*m/s)
And the second puck will have a velocity v, that we want to find:
Pf₂ = 0.11kg*v
Pf = Pf₁ + Pf₂ = 0 (kg*m/s) + 0.11kg*v = 0.11kg*v
And by conservation of momentum we have:
Pi = Pf
2.55 (kg*m/s) = 0.11kg*v
We divide in both sides by 0.11kg
2.55 (kg*m/s)/0.11kg = v
23.2 m/s = v
And from this, the final momentum will be the same as the initial:
Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)
The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.
Given :
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.
The formula of the momentum is given below:
P = mv
Now, let conserve the moment, that is:
[tex]\rm P_i=P_f[/tex] --- (1)
where [tex]\rm P_i[/tex] is the initial momentum and [tex]\rm P_f[/tex] is the final momentum.
First, determine the initial momentum.
[tex]\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec[/tex]
Now, determine the final momentum.
[tex]\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec[/tex]
Now. substitute the value of [tex]\rm P_i[/tex] and [tex]\rm P_f[/tex] in the equation (1).
[tex]\rm 2.55=0.11v[/tex]
v = 23.18 m/sec
So, the final momentum can be calculated as:
[tex]\rm P = 23.18 \times 0.11[/tex]
P = 2.55 Kg m/sec
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https://brainly.com/question/4956182
The area of a circular garden is 121pi
square feet. How much fencing would
be needed to enclose the garden?
Answer:
22 pi ft
Step-by-step explanation:
We can use the area to find the radius
A = pi r^2
121 pi = pi r^2
Divide each side by pi
121 = r^2
Take the square root
sqrt(121) = sqrt(r^2)
11= r
Now we need to find the circumference
C = 2*pi*r
C = 2* pi *11
C = 22 pi ft
Answer:
1. Use area to find radius.
A = π r^2
121 π = π r^2
2. Divide each side by π.
121 = r^2
3. Take in the square root .
[tex]\sqrt{121} = \sqrt{r^{2} }[/tex]
11 = r
4. Find the circumference .
C = 2 × π × r
C = 2 × π × 11
C = 22 π ft
Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.
Answer:
hope this helps
Step-by-step explanation:
9+6(10-7x)
=9+60-42x
=69-42x
Answer my math question I asked so many times I lost most of points by
Answer:
i think 3x+12=7x y
Step-by-step explanation:
List the angles of triangle WXY in order from smallest to largest.
Answer: W, Y, X (choice D)
=======================================================
Explanation:
The square angle marker means angle X is 90 degrees.
For any triangle, the three angles always add to 180
X+Y+W = 180
90+(2x+9)+(2x+1) = 180
4x+100 = 180
4x = 180-100
4x = 80
x = 80/4
x = 20
Use this x value to find the other angles
angle Y = 2x+9 = 2*20+9 = 49
angle W = 2x+1 = 2*20+1 = 41
As a check,
X+Y+W = 90+49+41 = 180
which confirms we have the right angles.
The last step is to sort the angles from smallest to largest
That would lead to W, Y, X which is choice D
how many rides can u go on for $10.00 if each ride is $0.25 ?
Answer:
40
Step-by-step explanation:
0.25x40=10 dollars
hdhddhhskalsk bshshshs
I need to find x and y
2x+4y=8
x=3y-6
Answer:
(x, y) = (0 , 2)
Step-by-step explanation:
Answer:
use elimination or substitution.
Step-by-step explanation:
A store buys a camera for $80 and decides to markup the price 35%. How much does the camera sell for?
Step-by-step explanation:
80$ is original price so 100%
markup by 35% make price 135%
crossmultiplication
ans=108
Based on the cost of the camera and the percentage markup, the selling price of the camera is $108.
The camera's selling price is 35% more than its cost price. That 35% is:
= 80 x 35%
= $28
The selling price of the camera is therefore:
= Cost of camera + Increase
= 80 + 28
= $108
In conclusion, the camera is being sold for $108.
Find out more at https://brainly.com/question/3837.
whats 1 + 77 just for you guys to get points :)
Answer:
78 !!!!
Step-by-step explanation:
Find the distance between A and B .
Answer:
2 and 6/10 or 2 and 3/5
Step-by-step explanation:
qazxwsdcerfvtbgynhumjilkop
Answer:
2 and 3/5 or 2 and 6/10
Step-by-step explanation:
Count the whole numbers and then count each line all the way till it reaches the whole number. If you can simplify then simplify both numbers by a number that goes in them both.
Which of the following could Not be the side length of a right triangle?
Answer:
I think ITS B
Step-by-step explanation:
Hope this helped
-BB
A color printer prints 28 pages in 8 minutes.
How many pages does it print per minute?
Answer:
use division
Step-by-step explanation:
this question is pretty simple, all you need to do is the opposite of multiplication, which is........division.
so divide 28 by 8 = 3.5
so it prints 3.5 (3 and a half) pages per minute.
Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.
Hope my answer helps :)
I need help with solving this problem please I will mark brainliest if correct !!!
Answer:
Supplementary angles
Step-by-step explanation:
The 2 angles are same- side interior angles and are supplementary
find the quadratic equation
PLEASE HELP, DUE SOON!!
I m s o d u m b t h a t i c a n t e v e n d o 1 + 1 s o i n e e d h e l p
Answer:
1 + 1 = 2
Step-by-step explanation:
:)
Answer:
1 + 1 = 2
Hope it Helps
Find the value of c that completes the square
x^2-x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value of c is 1/2
Step-by-step explanation:
We have to find the value of c that completes the square [tex]x^2-x+c[/tex]
So, completing square is of form: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -x while the general formula is 2ab for middle term so, our c = 1/2 i.e 2(x)(1/2) we get x so, solving:
[tex]x^2-x+c\\=x^2-2(x)(\frac{1}{2})+(\frac{1}{2})^2-(\frac{1}{2})^2\\=(x-\frac{1}{2})^2-(\frac{1}{2})^2[/tex]
The value of c is 1/2
HELP I HAVE TEN MINUTES!!!!!
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Giving brainliest!!
Find the inverse of function f.
f(x) = 1 - 1
OA ) = 7 - 1 1 2 2 2
OB. 1-1) = 7 - 21:
oc/) = 1 - 1
OD. (I) = 12 - 211
Answer:
Gah! Inverses!
Step-by-step explanation:
This is a pretty simple concept, just switch the x and f(x) values!
If you don't understand, look at how I solve it!
[tex]f(x)=\frac{1}{3} -\frac{1}{21} x[/tex]
Switching the positions of the x and f(x) values...
[tex]x=\frac{1}{3} -\frac{1}{21} f(x)^{-1}\\[/tex]
Note: That f(x)^-1 is the proper notation for inverse functions.
[tex]x-\frac{1}{3} =-\frac{1}{21} f(x)^{-1} \\f(x)^{-1}=-21x+7[/tex]
There you go!
Hope this helps, and don't procrastinate!
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = -1x+4
Step-by-step explanation:
Hope this helps!
Help ???????????????
Answer:
A
Step-by-step explanation:
use slope formula hope this helps
r/n + t=4v solve for r
Answer:
hi
Step-by-step explanation:
r=4vn-tn
A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.
Answer:
167 adult tickets were sold
35 children tickets were sold
Step-by-step explanation:
Let the number of adult tickets be x
Let the number of children tickets be y
Total number of each ticket sold;
x + y = 202 equation 1
Total cost of the tickets
10x + 6y = 1708 equation 2
Let
x= 202 - y equation 3
Substitute 3 into 2
10(202 - y) + y = 1708
2020 - 10y + y = 1708
-9y = 1708 - 2020
-9y = -312
y= 35
Substitute y =35 into 1
x + 35 =202
x= 202 - 35
x= 167
Therefore;
167 adult tickets were sold
35 children tickets were sold
5
4 cm
4 cm
2 cm
6 cm
Help! I will give the Brainly
Answer:
sry i hope u find what your looking for
-12(k + 4) = 60
Distributive property
Answer:
If we are solving for 'k,' then k = -9
Zahara mixed 5 quarts of dry ingredients and 2 quarts of water and a batch of concrete .She ran out of the mixture before finishing her project so she made another batch 10 quarts of dry ingredients . How many quarts of water does zahara need to add to keep the consistency the same? Complete the ratio square
Answer: 4 quarts.
Step-by-step explanation:
Given data:
Amount of dry ingredients = 5 quarts.
Amount of water in the mixture = 2 quarts.
Solution:
Let’s a represent the amount of dry ingredients.
Let b represent the amount of water
For first Batch
a/b = 5/2.
b = 2/5a ....... equation 1
For second Batch
a= 10
substitute a into equation 1 to solve for b
b = 2/5(10)
b = 4.
The ratio for batch b = 10/4.
Zahara needs to add 4 quarts of water to the mixture.
Answer:4 quarts!
Step-by-step explanation:
Peter says, "If you subtract 12 from my number and multiply the difference by −7, the result is −175." What is Peter's number
Answer:
37
Step-by-step explanation:
let’s say peter’s number is x
(x-12)(-7) = -175
-7x + 84 = -175
-7x = -259
x = 259/7
x = 37
Answer:
The number is 37.
Step-by-step explanation:
-175 ÷ -7 = 25
25 + 12 = 37
You have to work backwards from -175 by doing the reverse of what peter did to get the original number.
Eric earned 60 points on his last test. If there was 75 possible points, WHAT was his PERCENT grade?
Answer:
80
Step-by-step explanation:
Eric-- 60/75
Percentage of Eric ---- 60/75 *100
Eric got 80 percentage in his last test.
The consecutive angles of a rectangle are supplementary
a.) Sometimes
b.) Never
c.) Always
Answer:c
Step-by-step explanation:
Find the slope of the graph. Write it as a fraction or whole number (not a mixed number).
3/5
all u have to do is find two point and count down and to the side basically find the distance of those two points to find the slope.
Answer:
3/5
Step-by-step explanation:
From what I can see two points of the line are (0,1) and (5,4) so you can just count and do rise/run which is y/x or the formula which is like y^2-y^1/x^2-x^1 they both get the same answer which is 3/5
If you plug the numbers into the formula it gives you 4-1/5-0 which is 3/5